{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Derive coordinate descent for $l_1$ regularization."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\begin{align*} \n",
    "J(\\theta)\n",
    "&= \\frac{1}{2}\\left|\\left|X \\theta - y\\right|\\right|_2^2  + \\lambda \\left|\\left|\\theta \\right|\\right|_1 \\\\\n",
    "&= \\frac{1}{2}\\left|\\left|X \\bar \\theta + X_i \\theta_i - y\\right|\\right|_2^2  + \\lambda \\left|\\left|\\bar \\theta \\right|\\right|_1 + \\lambda \\left|\\left|\\theta_i \\right|\\right|_1 \\\\\n",
    "&= \\frac{1}{2}(X \\bar \\theta + X_i \\theta_i - y)^T(X \\bar \\theta + X_i \\theta_i - y) + \\lambda \\left|\\left|\\bar \\theta \\right|\\right|_1 + \\lambda \\left|\\left|\\theta_i \\right|\\right|_1 \\\\\n",
    "&= \\frac{1}{2}(\\theta_i X_i^T X \\bar \\theta + \\theta_i^2 X_i^T X_i - \\theta_i X_i^T y + \\bar \\theta^T X^T X_i \\theta_i - y^T X_i \\theta_i + C) + \\lambda \\left|\\left|\\bar \\theta \\right|\\right|_1 + \\lambda \\left|\\left|\\theta_i \\right|\\right|_1 \\\\\n",
    "&= \\frac{1}{2}(\\theta_i X_i^T X \\bar \\theta + \\theta_i^2 X_i^T X_i - \\theta_i X_i^T y + \\bar \\theta^T X^T X_i \\theta_i - y^T X_i \\theta_i + C) + \\lambda \\left|\\left|\\bar \\theta \\right|\\right|_1 + \\lambda s_i\\theta_i\n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "where $s_i \\in \\{-1, 1\\}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A note on the shapes of the matrices:\n",
    "\n",
    "* $X$: $m \\times n$, $m$ samples, $n$ features\n",
    "* $\\theta$: $n \\times 1$\n",
    "* $X_i$: $m \\times 1$\n",
    "* $\\theta_i$: a scalar"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above single out $\\theta_i$ where coordinate ascent will be applied. We put the terms that are independent of $\\theta_i$ all together into $C$, and they'll dispear when taking gradient of $J(\\theta)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, consider the case when $s_i = 1$,\n",
    "\n",
    "\\begin{align*}\n",
    "\\frac{\\partial J(\\theta)}{\\partial \\theta_i} \n",
    "&= \\frac{1}{2}(X_i^T X \\bar \\theta + 2\\theta_i X_i^TX_i - X_i^Ty +  \\bar \\theta^T X^T X_i - y^TX_i) + \\lambda \\\\\n",
    "&= X_i^T X \\bar \\theta + \\theta_i X_i^TX_i - X_i^Ty + \\lambda\n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Setting derivative to zero,\n",
    "\n",
    "\\begin{align*}\n",
    "\\theta_i = - \\frac{X_i^T (X \\bar \\theta - y) + \\lambda}{X_i^T X_i}\n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For those good at linear algebra, it could be obvious even without spaning the matrix product."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Similarly, when $s_i = -1$,\n",
    "\n",
    "\\begin{align*}\n",
    "\\frac{\\partial J(\\theta)}{\\partial \\theta_i}  = X_i^T X \\bar \\theta + \\theta_i X_i^TX_i - X_i^Ty - \\lambda\n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Similarly, setting derivative to zero,\n",
    "\n",
    "\\begin{align*}\n",
    "\\theta_i = - \\frac{X_i^T (X \\bar \\theta - y) - \\lambda}{X_i^T X_i}\n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (b-c) implement l1 regularization with coordinate descent, then test my implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df = pd.read_csv('./q3_solution/x.dat', sep=r'\\s+', header=None)\n",
    "\n",
    "df.shape\n",
    "\n",
    "y = pd.read_csv('./q3_solution/y.dat', sep=r'\\s+', header=None)\n",
    "\n",
    "true_theta = pd.read_csv('./q3_solution/theta.dat', sep=r'\\s+', header=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def cost(X, y, theta, lamb):\n",
    "    diff = np.dot(X, theta) - y\n",
    "    return 0.5 * np.dot(diff.T, diff) + lamb * np.abs(theta).sum()\n",
    "\n",
    "\n",
    "def l1ls(X, y, lamb, delta_cutoff=1e-5):\n",
    "    \"\"\"delta: convergence cutoff\"\"\"\n",
    "    num_features = X.shape[1]\n",
    "    theta = np.random.random(X.shape[1])\n",
    "    max_delta = 0\n",
    "    count = 0\n",
    "    deltas = []\n",
    "    costs = []\n",
    "    while True:\n",
    "        i = count % num_features\n",
    "        \n",
    "        theta_bar = np.concatenate([theta[:i], [0], theta[i+1:]])\n",
    "        X_i = X[:,i]\n",
    "        common_part = X_i.dot(X.dot(theta_bar) - y)\n",
    "\n",
    "        # when s_i = 1\n",
    "        theta1 = theta.copy()\n",
    "        ## TOOK QUITE SOME TIME TO FIGURE OUR THE MINUX SIGN IS IGNORE!!!\n",
    "        theta1[i] = np.max([- (common_part + lamb) / X_i.dot(X_i), 0])\n",
    "        cost1 = cost(X, y, theta1, lamb)\n",
    "\n",
    "        # when s_i = -1\n",
    "        theta2 = theta.copy()\n",
    "        theta2[i] = np.min([- (common_part - lamb) / X_i.dot(X_i), 0])\n",
    "        cost2 = cost(X, y, theta2, lamb)\n",
    "        \n",
    "        if cost1 < cost2:\n",
    "            new_theta = theta1\n",
    "            costs.append(cost1)\n",
    "        else:\n",
    "            new_theta = theta2\n",
    "            costs.append(cost2)\n",
    "        \n",
    "        delta = np.abs(new_theta[i] - theta[i]).sum()\n",
    "        if delta > max_delta:\n",
    "            max_delta = delta\n",
    "        deltas.append(delta)\n",
    "        \n",
    "        if i == num_features - 1:\n",
    "            if max_delta < delta_cutoff:\n",
    "                print('converged after {0} steps'.format(count + 1))\n",
    "                return theta, deltas, costs\n",
    "            else:\n",
    "                max_delta = 0 # reset max_delta\n",
    "        \n",
    "        theta = new_theta\n",
    "        count += 1\n",
    "        \n",
    "        if count == 5000: # set a deadline for debugging purpose, it shouldn't take that many steps\n",
    "            print(count)\n",
    "            return theta, deltas, costs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "converged after 3100 steps\n",
      "converged after 3100 steps\n",
      "converged after 3400 steps\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x10d6ab8d0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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n4+5CbhvRjetO70RigsYWkPhV2RWC82P5weF5Eh4CzgLWA7PN7BV3X1put6+A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\n4H8oNxhiktziMQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d153a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot([-1, 1], [-1, 1], '--')\n",
    "\n",
    "for i in range(3):\n",
    "    th, deltas, costs = l1ls(df.values, y.values.ravel(), lamb=1)\n",
    "    ax.scatter(true_theta, th, label='replica: {0}'.format(i))\n",
    "ax.set_xlabel('True theta')\n",
    "ax.set_ylabel('Found theta with L1 regularization')\n",
    "ax.grid()\n",
    "ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This shows that there is probably a single global optimum since the optimizations always converge to the same points."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Try different $\\lambda$ values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5000\n",
      "5000\n",
      "5000\n",
      "converged after 3400 steps\n",
      "converged after 1200 steps\n"
     ]
    },
    {
     "data": {
      "image/png": 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Vaky7iIiISHoIcvb4P5nZKyQmozNgpruXB1W+SCarqY+xdG0jj9z3Gk+8tZar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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d312550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(5, 3, sharex=False, sharey=False, figsize=(14, 16))\n",
    "axes = axes.ravel()\n",
    "\n",
    "for k, lamb in enumerate([0.001, 0.01, 0.1, 1, 10]):\n",
    "    th, deltas, costs = l1ls(df.values, y.values.ravel(), lamb=lamb)\n",
    "    \n",
    "    ax = axes[k * 3]\n",
    "    ax.plot([-1, 1], [-1, 1], '--')\n",
    "    ax.scatter(true_theta, th, label='$\\lambda = {0}$'.format(lamb))\n",
    "    ax.set_xlabel('True theta')\n",
    "    ax.set_ylabel('Found theta with L1 regularization')\n",
    "    ax.legend(loc='upper left')\n",
    "\n",
    "    axes[k * 3 + 1].plot(costs, label='costs')\n",
    "    axes[k * 3 + 1].legend()\n",
    "    \n",
    "    axes[k * 3 + 2].plot(deltas, label='deltas')\n",
    "    axes[k * 3 + 2].legend()\n",
    "    \n",
    "for _ in axes:\n",
    "    _.grid()\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So $\\lambda = 1$ seems to be of the proper regularization strength. Also, stronger regularization decreases the number of features with non-zero coefficient."
   ]
  }
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